Simple height measuring device based on mathematical principle

Abstract

The utility model belongs to the field of mathematics teaching auxiliary equipment, concretely relates to a simple height measuring device based on mathematical principle, including the mounting seat, the bottom of mounting seat is equipped with a plurality of telescopic supporting legs, the top of mounting seat is fixedly connected with telescopic link, the upper end of telescopic link is fixedly connected with the observation tube, the observation tube and telescopic link are 45 degrees angle, the upper end of observation tube and the upper end of telescopic link intersect. The simple height measuring device based on mathematical principle, simple structure, convenient operation, through setting the lead drop, it is convenient for student to study the principle of gravity and two straight line parallel principle, through setting the observation tube and telescopic link 45 degrees angle, it is convenient for student to master the characteristic of isosceles right triangle, through the simple mathematical principle is used to practice, the teaching is combined with the fun, to increase student's interest in mathematics science, it is convenient for student to master relevant knowledge.

Description

Technical Field

[0001] This utility model relates to a simple height measuring device based on mathematical principles, belonging to the field of mathematical teaching aids. Background Technology

[0002] In mathematics teaching, students sometimes need to measure the height of objects. Currently, the commonly used tool is a meter stick. However, in actual measurements, some objects, such as houses, trees, and utility poles, are quite tall. For these types of tall objects, a meter stick is usually not sufficient for direct height measurement. Although professional height measuring equipment can measure the height of such objects, its complexity, large size, and high cost usually make it inconvenient for students to use. Utility Model Content

[0003] In view of the shortcomings of the prior art, the technical problem to be solved by this utility model is to provide a simple height measuring device based on mathematical principles that is simple in structure, easy to operate, and can stimulate students' learning interest.

[0004] The simple height measuring device based on mathematical principles described in this utility model includes a mounting base, with multiple telescopic support legs installed at the bottom of the mounting base, a telescopic rod fixedly connected to the top of the mounting base, and an observation tube fixedly connected to the upper end of the telescopic rod. The observation tube and the telescopic rod form a 45° angle, and the upper end of the observation tube intersects with the upper end of the telescopic rod.

[0005] Furthermore, the number of telescopic support legs is three, and the three telescopic support legs are evenly distributed in a circle.

[0006] Furthermore, the telescopic support leg includes an outer support leg connected to the mounting base, an inner support leg inserted into the bottom of the outer support leg, and a first set screw corresponding to the inner support leg threaded to the lower end of the side wall of the outer support leg.

[0007] Furthermore, the outer support leg is hinged to the mounting base via a pin.

[0008] Furthermore, a positioning shaft is fixedly connected to the bottom of the mounting base. The lower end of the positioning shaft is provided with an external thread, and a positioning nut is threaded onto the external thread. A positioning sleeve is fitted on the outside of the external thread. The positioning sleeve is located below the positioning nut. A connecting rod is hinged between the positioning sleeve and each of the external support legs.

[0009] Furthermore, a limiting platform is provided at the bottom of the positioning shaft.

[0010] Furthermore, the telescopic rod includes an outer rod fixedly connected to the mounting base, an inner rod inserted into the top of the outer rod, a second set screw corresponding to the inner rod threadedly connected to the upper end of the side wall of the outer rod, and the observation tube fixedly connected to the inner rod.

[0011] Furthermore, the transverse cross-section of the inner rod is circular.

[0012] Furthermore, a rope shaft is fixedly connected to the knob of the second set screw, and a calibration ring corresponding to the rope shaft is fixedly connected to the lower end of the side wall of the outer rod. A plumb line is connected to the rope shaft, and the lower end of the plumb line passes through the calibration ring and is fixedly connected to a plumb bob.

[0013] Working principle and process: In use, the inner support leg serves as the supporting component of the entire device. By loosening and tightening the first set screw, the length of the inner support leg extending beyond the outer support leg can be adjusted. This, in conjunction with the plumb bob, plumb line, and calibration ring, ensures the verticality of the telescopic rod. By loosening and tightening the second set screw, the length of the inner rod extending beyond the outer rod can be adjusted, thereby adjusting the height position of the observation tube so that the extension line of the observation tube is aligned with the top of the target object. At this point, according to the principle of isosceles right triangles, the height of the target object is equal to the vertical distance from the intersection of the inner rod and the observation tube to the ground plus the horizontal distance from the intersection of the inner rod and the observation tube to the target object. Both of these distances can be measured using a meter stick, thus achieving the purpose of measuring the height parameters of large objects using a meter stick.

[0014] The advantages of this utility model compared with the prior art are: The simple height measuring device based on mathematical principles described in this utility model has a simple structure and is easy to operate. By setting a plumb bob, it is easy for students to learn the principles of gravity and the principle of parallel lines. By setting the observation tube and the telescopic rod at a 45° angle, it is easy for students to grasp the properties of isosceles right triangles. By applying simple mathematical principles to practice, it combines education with fun, increases students' interest in mathematics and science, and facilitates their mastery of related knowledge. Attached Figure Description

[0015] Figure 1 This is a three-dimensional structural schematic diagram of the present invention; Figure 2 This is the front view of this utility model; Figure 3 This is a schematic diagram illustrating the principle of this utility model.

[0016] In the diagram: 1. Inner support leg; 2. First set screw; 3. Outer support leg; 4. Limiting platform; 5. External thread; 6. Positioning sleeve; 7. Connecting rod; 8. Positioning nut; 9. Mounting base; 10. Outer rod; 11. Plumb bob; 12. Calibration ring; 13. Plumb line; 14. Rope shaft; 15. Second set screw; 16. Inner rod; 17. Observation tube; 18. Positioning shaft; 19. Target object. Detailed Implementation

[0017] The embodiments of this utility model will be further described below with reference to the accompanying drawings: Example 1: like Figure 1 , Figure 2 As shown, the simple height measuring device based on mathematical principles described in this utility model includes a mounting base 9. Multiple telescopic support legs are installed at the bottom of the mounting base 9. A telescopic rod is fixedly connected to the top of the mounting base 9. An observation tube 17 is fixedly connected to the upper end of the telescopic rod. The observation tube 17 and the telescopic rod form a 45° angle, and the upper end of the observation tube 17 intersects with the upper end of the telescopic rod.

[0018] When using, such as Figure 3 As shown, taking the measurement of the height AB of the target object 19 as an example, the device is installed at point D by means of the telescopic support leg. By adjusting the extension length of the telescopic rod, the height position of the observation tube 17 can be adjusted so that the extension line of the observation tube 17 is directly opposite the top point B of the target object 19. At this time, according to the principle of isosceles right triangle, AB=AC=AD+DC=AD+DE. Therefore, the height AB of the target object 19 is equal to AD+DE. Both of these distances can be measured with a meter stick, thereby achieving the purpose of measuring the height parameters of large objects with a meter stick.

[0019] Example 2: like Figures 1 to 3 As shown, based on Example 1, Furthermore, the number of telescopic support legs is three, and the three telescopic support legs are evenly distributed in a circle. The layout of the three telescopic support legs not only ensures the stability of the support, but also occupies less external space and is easy to operate.

[0020] Furthermore, the telescopic support leg includes an outer support leg 3 connected to the mounting base 9, an inner support leg 1 inserted into the bottom of the outer support leg 3, and a first set screw 2 corresponding to the inner support leg 1 threadedly connected to the lower end of the side wall of the outer support leg 3. By loosening and tightening the first set screw 2, the length of the inner support leg 1 extending beyond the outer support leg 3 can be adjusted. The structure is simple and the operation is convenient.

[0021] Furthermore, the outer support leg 3 is hinged to the mounting base 9 via a pin. In use, the outer support leg 3 extends outward from the mounting base 9 to improve structural stability; when carrying, the outer support leg 3 is folded up for easy transport.

[0022] Furthermore, a positioning shaft 18 is fixedly connected to the bottom of the mounting base 9. The lower end of the positioning shaft 18 is provided with an external thread 5, and a positioning nut 8 is threaded onto the external thread 5. A positioning sleeve 6 is fitted on the outside of the external thread 5, and the positioning sleeve 6 is located below the positioning nut 8. A connecting rod 7 is hinged between the positioning sleeve 6 and each of the outer support legs 3. After the outer support leg 3 is extended outward at a certain angle, by tightening the positioning nut 8, under the action of the external thread 5, the positioning nut 8 can be pressed tightly against the positioning sleeve 6, thereby limiting the positioning sleeve 6 and preventing the outer support leg 3 from slipping due to an excessively large outward extension angle.

[0023] Furthermore, a limiting platform 4 is provided at the bottom of the positioning shaft 18. When the outer support leg 3 is retracted, it can prevent the positioning sleeve 6 from slipping off the positioning shaft 18, thus providing a protective function.

[0024] Furthermore, the telescopic rod includes an outer rod 10 fixedly connected to the mounting base 9, an inner rod 16 inserted into the top of the outer rod 10, and a second set screw 15 corresponding to the inner rod 16 threadedly connected to the upper end of the side wall of the outer rod 10. The observation tube 17 is fixedly connected to the inner rod 16. By loosening and tightening the second set screw 15, the length of the inner rod 16 extending beyond the outer rod 10 can be adjusted. The structure is simple and the operation is convenient.

[0025] Furthermore, the inner rod 16 has a circular cross-section. The observation tube 17 can be rotated by rotating the inner rod 16, facilitating observation of the target object 19. Furthermore, a rope shaft 14 is fixedly connected to the knob of the second set screw 15, and a calibration ring 12 corresponding to the rope shaft 14 is fixedly connected to the lower end of the side wall of the outer rod 10. A plumb line 13 is connected to the rope shaft 14, and the lower end of the plumb line 13 passes through the calibration ring 12 and is fixedly connected to a plumb bob 11. When the plumb line 13 passes through the center of the calibration ring 12, it indicates that the plumb line 13 is vertical, thereby ensuring the verticality of the outer rod 10.

[0026] It should be noted that the purpose of this plan is not to accurately measure the height of objects, but to make learning fun and engaging. By applying mathematical knowledge to real-life situations, it aims to stimulate students' interest in learning and help them better understand mathematical principles.

Claims

1. A simple height measuring device based on mathematical principles, characterized in that: Includes a mounting base (9), with multiple telescopic support legs installed at the bottom of the mounting base (9), and a telescopic rod fixedly connected to the top of the mounting base (9). An observation tube (17) is fixedly connected to the upper end of the telescopic rod, with the observation tube (17) and the telescopic rod forming a 45° angle, and the upper end of the observation tube (17) intersecting with the upper end of the telescopic rod.

2. The simplified height measuring device based on mathematical principles according to claim 1, characterized in that: The number of telescopic support legs is three, and the three telescopic support legs are evenly distributed in a circle.

3. The simplified height measuring device based on mathematical principles according to claim 1, characterized in that: The telescopic support leg includes an outer support leg (3) connected to the mounting base (9), an inner support leg (1) is inserted into the bottom of the outer support leg (3), and a first set screw (2) corresponding to the inner support leg (1) is threaded to the lower end of the side wall of the outer support leg (3).

4. The simplified height measuring device based on mathematical principles according to claim 3, characterized in that: The outer support leg (3) is hinged to the mounting base (9) by a pin.

5. The simplified height measuring device based on mathematical principles according to claim 4, characterized in that: The bottom of the mounting base (9) is fixedly connected to a positioning shaft (18). The lower end of the positioning shaft (18) is provided with an external thread (5). A positioning nut (8) is threaded onto the external thread (5). A positioning sleeve (6) is fitted on the outside of the external thread (5). The positioning sleeve (6) is located below the positioning nut (8). A connecting rod (7) is hinged between the positioning sleeve (6) and each of the external support legs (3).

6. The simplified height measuring device based on mathematical principles according to claim 5, characterized in that: The bottom of the positioning shaft (18) is provided with a limiting platform (4).

7. The simplified height measuring device based on mathematical principles according to any one of claims 1 to 6, characterized in that: The telescopic rod includes an outer rod (10) fixedly connected to the mounting base (9), an inner rod (16) inserted into the top of the outer rod (10), a second set screw (15) corresponding to the inner rod (16) threadedly connected to the upper end of the side wall of the outer rod (10), and the observation tube (17) fixedly connected to the inner rod (16).

8. The simplified height measuring device based on mathematical principles according to claim 7, characterized in that: The transverse cross section of the inner rod (16) is circular.

9. The simplified height measuring device based on mathematical principles according to claim 7, characterized in that: A rope shaft (14) is fixedly connected to the knob of the second set screw (15). A calibration ring (12) corresponding to the rope shaft (14) is fixedly connected to the lower end of the side wall of the outer rod (10). A plumb line (13) is connected to the rope shaft (14). The lower end of the plumb line (13) passes through the calibration ring (12) and is fixedly connected to a plumb bob (11).

Images